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1

Hefner, Jennifer L., Timothy R. Huerta, Ann Scheck McAlearney, Barbara Barash, Tina Latimer, and Susan D. Moffatt-Bruce. "Navigating a ship with a broken compass: evaluating standard algorithms to measure patient safety." Journal of the American Medical Informatics Association 24, no. 2 (August 30, 2016): 310–15. http://dx.doi.org/10.1093/jamia/ocw126.

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Objective: Agency for Healthcare Research and Quality (AHRQ) software applies standardized algorithms to hospital administrative data to identify patient safety indicators (PSIs). The objective of this study was to assess the validity of PSI flags and report reasons for invalid flagging. Material and Methods: At a 6-hospital academic medical center, a retrospective analysis was conducted of all PSIs flagged in fiscal year 2014. A multidisciplinary PSI Quality Team reviewed each flagged PSI based on quarterly reports. The positive predictive value (PPV, the percent of clinically validated cases) was calculated for 12 PSI categories. The documentation for each reversed case was reviewed to determine the reasons for PSI reversal. Results: Of 657 PSI flags, 185 were reversed. Seven PSI categories had a PPV below 75%. Four broad categories of reasons for reversal were AHRQ algorithm limitations (38%), coding misinterpretations (45%), present upon admission (10%), and documentation insufficiency (7%). AHRQ algorithm limitations included 2 subcategories: an “incident” was inherent to the procedure, or highly likely (eg, vascular tumor bleed), or an “incident” was nonsignificant, easily controlled, and/or no intervention was needed. Discussion: These findings support previous research highlighting administrative data problems. Additionally, AHRQ algorithm limitations was an emergent category not considered in previous research. Herein we present potential solutions to address these issues. Conclusions: If, despite poor validity, US policy continues to rely on PSIs for incentive and penalty programs, improvements are needed in the quality of administrative data and the standardized PSI algorithms. These solutions require national motivation, research attention, and dissemination support.
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Ali, A. D., J. Garcia, and J. S. Hartin. "Nantucket Pine Tip Moth Control, Claifornia, 1986." Insecticide and Acaricide Tests 12, no. 1 (January 1, 1987): 356. http://dx.doi.org/10.1093/iat/12.1.356.

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Abstract The experiment was conducted on a 4-year-old commercial stand in Grand Terrace, CA. Experiment design was a randomized complete block with 3 replications. Each plot contained 4 trees. Average tree height was 5.5 ft. Treatments were applied with a Solo® knapsack sprayer using a hollow cone nozzle at 32 psi, and a 100 gal/acre spray rate. Nantucket pine tip moth damage was estimated by randomly selecting 40 terminals per tree (10 in each compass direction) and recording the number of damaged and healthy tips. Insecticides were applied on 2 Jun, 5 Aug, and 30 Sep, and damage evaluations were made on 11 Jul, 9 Sep and 28 Oct.
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Story, R. N., and W. J. Bourgeois. "Citrus Red Mite Control on Citrus, 1983." Insecticide and Acaricide Tests 10, no. 1 (January 1, 1985): 52. http://dx.doi.org/10.1093/iat/10.1.52.

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Abstract The study was conducted on mature trees located at the LSU Citrus Research Station, Port Sulpher, LA. A randomized complete block design was used with 4 replications per treatment (individual trees served as plots). Each plot was surrounded by 4 untreated trees to serve as a buffer between treatments. Pesticides were applied on 15 Jun ’83 with a FMC Speed Sprayer operated at 1200 RPM and 250 psi and a 4 nozzle hand gun. Trees were sprayed until runoff (approx 2.5 gal/tree). Evaluations were made on 29 Jun and 13 Jul by randomly selecting 10 leaves per tree as follows: 2 leaves from each of the 4 compass directions and 2 from the center of the tree. Leaves were taken to the lab, examined under a stereo-microscope, and the number of mites recorded.
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Story, R. N., and W. J. Bourgeois. "Citrus Red Mite Control on ‘Owari’ Satsuma in Louisiana, 1986." Insecticide and Acaricide Tests 13, no. 1 (January 1, 1988): 72. http://dx.doi.org/10.1093/iat/13.1.72.

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Abstract The study was conducted on a plot of ‘Owari’ Satsuma citrus trees located at the LSU Citrus Research Station, Louisiana Agricultural Experiment Station, Port Sulpher, La. A randomized complete block design was used with 4 replications per treatment (individual trees served as plots). Pesticides were applied on 30 Sep, with a hand-held C02 pressurized sprayer delivering 0.51 per tree at 40 psi through a single spray nozzel containing a D-3 disc, No. 25 core, and 16 mesh strainer. Trees were sprayed until completely covered. Evaluations were made on 8 Oct and 9 Nov by randomly selecting leaves per tree as follows: 2 leaves from each of the 4 compass directions and 2 from the center of the tree. Leaves were taken to the lab, examined under a stereomicroscope, and the number of mites recorded.
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Story, R. N., and W. J. Bourgeois. "Citrus Red Mite Control on Citrus in Louisiana, 1986." Insecticide and Acaricide Tests 12, no. 1 (January 1, 1987): 85. http://dx.doi.org/10.1093/iat/12.1.85a.

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Abstract The study was conducted on a plot of'Washington’ navel citrus trees located at the LSU Citrus Research Station, Louisiana Agricultural Experiment Station, Port Sulpher, LA. A randomized complete block design was used with 4 replications per treatment (individual trees served as plots). Pesticides were applied on 18 Aug with a hand-held C02 pressurized sprayer delivering 0.5 1 per tree at 40 psi through a single spray nozzle containing a D-3 disc, No. 25 core, and 16 mesh strainer. Treatments were sprayed until completely covered. Evaluations were made on 26 Aug and 30 Sept by randomly selecting leaves per tree as follows; 2 leaves from each of the 4 compass directions and 2 from the center of the tree. Leaves were taken to the lab, examined under a stero-microscope, and the number of mites recorded.
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6

Sanderson, J. P., and M. M. Barnes. "Control of Spider Mites on Almonds, 1982." Insecticide and Acaricide Tests 11, no. 1 (January 1, 1986): 91–93. http://dx.doi.org/10.1093/iat/11.1.91b.

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Abstract The test was conducted on 2-yr-old ‘Nonpareil’ almond trees in a commercial orchard near Shaffer, CA. A randomized complete block design composed of 12 blocks was established in the orchard. Each block contained 1 single-tree replicate of each of the 10 treatments. Treatments were applied on 23 Jul ’82, with a high pressure hand gun which delivers a fine spray at 400-450 psi. The trees were sprayed to runoff with an avg of 7.5 gal of dilute spray per tree, resulting in an application rate of ca 700 gal/acre. Five sample leaves were taken from each of the 4 compass quadrants of each tree, inside and outside of the canopy at heights of 3 to 6 ft, for a total of 20 leaves per tree. The samples were counted under a dissecting microscope. Only 6 of the 12 blocks were sampled on the pretreatment and 1 day posttreatment sample dates. Data for all other sample dates are based on counts from 12 blocks.
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7

Story, R. N., and W. J. Bourgeois. "Citrus Red Mite Control on Citrus, 1984." Insecticide and Acaricide Tests 10, no. 1 (January 1, 1985): 52–53. http://dx.doi.org/10.1093/iat/10.1.52a.

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Abstract The study was conducted on a plot of recently transplanted trees located at the LSU Citrus Research Station, Port Sulpher, LA. A randomized complete block design was used with 4 replications per treatment (individual trees served as plots). Pesticides were applied on 10 Oct ’84 with a hand-held CO2 pressurized sprayer delivering 0.5 liter per tree at 40 psi through a single spray nozzle containing a D-3 disc, No. 25 core, and 16 mesh strainer. Trees were sprayed until completely covered. Although only 50 liters of pesticide was applied per acre, pesticide concentrations were calculated at a rate of 378 liter per acre so as to simulate concentrations used for a mature stand. Evaluations were made on 19 Oct and 13 Nov by randomly selecting 10 leaves per tree as follows: 2 leaves from each of the 4 compass directions and 2 from the center of the tree. Leaves were taken to the lab, examined under a stereo-microscope, and the number of mites recorded.
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8

BHATTACHARYA, SIDDHARTHA. "Topological conjugacy of automorphism flows on compact Lie groups." Ergodic Theory and Dynamical Systems 20, no. 2 (April 2000): 335–42. http://dx.doi.org/10.1017/s0143385700000158.

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Let $G$ be a compact connected Lie group and ${\rm Aut}(G)$ be the group of Lie automorphisms of $G$. We describe a condition on $G$ under which topological conjugacy of the flows on $G$ induced by two one-parameter subgroups $\phi$ and $\psi$ of ${\rm Aut}(G)$ implies conjugacy of $\phi$ and $\psi$ in ${\rm Aut}(G)$. The condition is verified for $Sp(n)$, $SO(2n+1)$ and ${\rm Spin}(2n+1)$.
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9

FRANCO, ANDRÉS CORDÓN, HANS VAN DITMARSCH, and ANGEL NEPOMUCENO. "DYNAMIC CONSEQUENCE AND PUBLIC ANNOUNCEMENT." Review of Symbolic Logic 6, no. 4 (October 14, 2013): 659–79. http://dx.doi.org/10.1017/s1755020313000294.

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AbstractIn van Benthem (2008), van Benthem proposes a dynamic consequence relation defined as ${\psi _1}, \ldots ,{\psi _n}{ \models ^d}\phi \,{\rm{iff}}{ \models ^{pa}}[{\psi _1}] \ldots [{\psi _n}]\phi ,$ where the latter denotes consequence in public announcement logic, a dynamic epistemic logic. In this paper we investigate the structural properties of a conditional dynamic consequence relation $\models _{\rm{\Gamma }}^d$ extending van Benthem’s proposal. It takes into account a set of background conditions Γ, inspired by Makinson (2003) wherein Makinson calls this reasoning ‘modulo’ a set Γ. In the presence of common knowledge, conditional dynamic consequence is definable from (unconditional) dynamic consequence. An open question is whether dynamic consequence is compact. We further investigate a dynamic consequence relation for soft instead of hard announcements. Surprisingly, it shares many properties with (hard) dynamic consequence. Dynamic consequence relations provide a novel perspective on reasoning about protocols in multi-agent systems.
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10

Grosso, Michael. "Flying Friars and Other Exceptions." Journal of Scientific Exploration 34, no. 3 (September 15, 2020): 605–7. http://dx.doi.org/10.31275/20201885.

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Stephen Braude’s editorial “Does Telepathy Threaten Mental Privacy” speaks to one reason some people might resist accepting the reality of paranormal abilities. It is somewhat of a puzzle why so many otherwise rational people shy away from psi. If we accept telepathy, it might seem we’re exposed to others snooping on our innermost secrets and intentions. Deploying a distinction made by C. D. Broad between telepathic cognition and telepathic interaction, Braude argues that our fear of telepathic intrusion is greatly exaggerated. I, for example, often think of someone just before he or she calls on the phone. When that happens, I have no knowledge of what the caller is going to tell me, No cognition, just a bit of interaction. Telepathic connection doesn’t necessarily imply telepathic cognition. No danger of your hidden self being exposed in most common forms of telepathy. There are, however, some examples where it looks like real telepathic cognition comes into play. In the early stages of 17th century Joseph of Copertino’s career as a priest, his superiors had to ask Joseph to desist from calling the brothers out in public for every peccadillo they committed. In a typical example cited, he embarrassed a brother for thinking about eating cherries and other things while saying his prayers. His superiors urged Joseph to be more discreet and say things like—“you need to adjust your moral compass.” Joseph did learn to be more discreet but his Vita shows him repeatedly tuning into the specifics of other minds. For example, he was able to distinguish persons who came merely to observe him out of curiosity. Let me quote one sworn deposition from a Brother Francesco that illustrates telepathic cognition.
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11

Pozharska, K. V., and O. A. Pozharskyi. "Recovery of continuous functions from their Fourier coefficients known with error." Researches in Mathematics 28, no. 2 (December 28, 2020): 24. http://dx.doi.org/10.15421/242008.

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The problem of optimal recovery is considered for functions from their Fourier coefficients known with error. In a more general statement,this problem for the classes of smooth and atalytic functions defined on various compact manifolds can be found in the classical paper byG.G. Magaril-Il'yaev, K.Y. Osipenko.Namely, the paper is devoted to the recovery of continuous real-valued functions $y$ of one variable from the classes $W^{\psi}_{p}$, $1 \leq p< \infty$,that are defined in terms of generalized smoothness $\psi$ from their Fourier coefficients with respect to some complete orthonormal in the space $L_2$ system$\Phi = \{ \varphi_k \}_{k=1}^{\infty}$ of continuous functions, that are blurred by noise.Assume that for function $y$ we know the values $y_k^{\delta}$ of their noisy Fourier coefficients, besides $y_k^{\delta} = y_k + \delta \xi_k$, $k = 1,2, \dots$,where $y_k$ are the corresponding Fourier coefficients, $\delta \in (0,1)$, and $\xi = (\xi_k)_{k=1}^{\infty}$ is a noise.Additionally let the functions from the system $\Phi$ be continuous and satisfy the condition $\| \varphi_k \|_{C}\leq C_1 k^{\beta}$, $k=1,2,\dots$,where $C_1>0$, $\beta \geq 0$ are some constants, and $\| \cdot\|_{C}$ is the standart norm of the space $C$ of continuous on the segment $[0,1]$ functions.Under certain conditions on parameter $\psi$, we obtain order estimates of the approximation errors of functions from the classes$$W^{\psi}_{p} = \left\{ y \in L_2\colon \| y \|^p_{W^{\psi}_{p}} = \sum\limits_{k=1}^{\infty} \psi^p(k) |y_k|^p \leq 1 \right\}, \quad 1 \leq p< \infty,$$in metric of the space $C$ by the so-called$\Lambda$-method of series summation that is defined by the number triangular matrix $\Lambda = \{ \lambda_k^n \}_{k=1}^n$, $n=n(\delta) \in \mathbb{N}$,with some restrictions on its elements.Note, that we extend the known results [8, 7] to a more wide spectrum of the classesof functions and for a more general restrictions on the noise level.In our results a case is considered when the noise is stronger than those in the space $l_2$ of real number sequences, but not stochastic.
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12

LEIBMAN, A. "Nilsequences, null-sequences, and multiple correlation sequences." Ergodic Theory and Dynamical Systems 35, no. 1 (June 28, 2013): 176–91. http://dx.doi.org/10.1017/etds.2013.36.

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AbstractA ($d$-parameter) basic nilsequence is a sequence of the form $\psi (n)= f({a}^{n} x)$,$n\in { \mathbb{Z} }^{d} $, where $x$ is a point of a compact nilmanifold $X$, $a$ is a translation on $X$, and$f\in C(X)$; a nilsequence is a uniform limit of basic nilsequences. If $X= G/ \Gamma $ is a compact nilmanifold, $Y$ is a subnilmanifold of $X$, $\mathop{(g(n))}\nolimits_{n\in { \mathbb{Z} }^{d} } $ is a polynomial sequence in $G$, and $f\in C(X)$, we show that the sequence $\phi (n)= \int \nolimits \nolimits_{g(n)Y} f$ is the sum of a basic nilsequence and a sequence that converges to zero in uniform density (a null-sequence). We also show that an integral of a family of nilsequences is a nilsequence plus a null-sequence. We deduce that for any invertible finite measure preserving system $(W, \mathcal{B} , \mu , T)$, polynomials ${p}_{1} , \ldots , {p}_{k} : { \mathbb{Z} }^{d} \longrightarrow \mathbb{Z} $, and sets ${A}_{1} , \ldots , {A}_{k} \in \mathcal{B} $, the sequence $\phi (n)= \mu ({T}^{{p}_{1} (n)} {A}_{1} \cap \cdots \cap {T}^{{p}_{k} (n)} {A}_{k} )$, $n\in { \mathbb{Z} }^{d} $, is the sum of a nilsequence and a null-sequence.
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13

Stocker, M., R. Bertschinger, M. Döbeli, M. Grajcar, S. Jacob, J. Scheer, M. Suter, and H. A. Synal. "Status of the PSI/ETH compact AMS facility." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 223-224 (August 2004): 104–8. http://dx.doi.org/10.1016/j.nimb.2004.04.024.

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14

Asadi, Mohammad B., Zahra Hassanpour Yakhdani, Fatemeh Olyaninezhad, and Abbas Sahleh. "Approximately orthogonality preserving mappings on Hilbert \(C_{0}(Z)\)-modules." Glasnik Matematicki 57, no. 1 (June 28, 2022): 63–71. http://dx.doi.org/10.3336/gm.57.1.05.

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In this paper, we will use the categorical approach to Hilbert \(C^{\ast}\)-modules over a commutative \(C^{\ast}\)-algebra to investigate the approximately orthogonality preserving mappings on Hilbert \(C^{\ast}\)-modules over a commutative \(C^{\ast}\)-algebra. Indeed, we show that if \(\Psi:\Gamma \rightarrow \Gamma^{\prime} \) is a nonzero \( C_{0}(Z) \)-linear \(( \delta , \varepsilon)\)-orthogonality preserving mapping between the continuous fields of Hilbert spaces on a locally compact Hausdorff space \(Z\), then \(\Psi\) is injective, continuous and also for every \( x, y \in \Gamma \) and \(z \in Z\), \[ \vert \langle \Psi(x),\Psi(y) \rangle(z) - \varphi^2(z) \langle x,y \rangle(z) \vert \leq \frac{4(\varepsilon - \delta)}{(1-\delta)(1+\varepsilon)} \Vert \Psi(x) \Vert \Vert \Psi(y) \Vert, \] where \(\varphi(z) = \sup \{ \Vert \Psi(u)(z) \Vert : u ~ \text{is a unit vector in} ~ \Gamma \}\).
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EL MFADEL, Ali, Fatima Ezzahra BOURHİM, and M'hamed ELOMARİ. "Existence of mild solutions for semilinear $\psi-$Caputo-type fractional evolution equations with nonlocal conditions in Banach spaces." Results in Nonlinear Analysis 5, no. 4 (December 30, 2022): 459–72. http://dx.doi.org/10.53006/rna.1121916.

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The main crux of this manuscript is to establish the existence of mild solutions for a class of semilinear $\psi-$Caputo-type fractional evolution equations in Banach spaces with non-local conditions. The proofs are based on some fixed point theorems, compact semigroup and some basic concepts of $\psi-$fractional analysis. As application, a nontrivial example is given to illustrate our theoretical results.
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16

Anikin, A., S. Dobrokhotov, V. Nazaikinskii, and A. Tsvetkova. "Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves." St. Petersburg Mathematical Journal 33, no. 2 (March 4, 2022): 185–205. http://dx.doi.org/10.1090/spmj/1696.

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The spectral problem − ⟨ ∇ , D ( x ) ∇ ψ ⟩ = λ ψ -\langle \nabla ,D(x)\nabla \psi \rangle = \lambda \psi in a bounded two-dimensional domain Ω \Omega is considered, where D ( x ) D(x) is a smooth function positive inside the domain and zero on the boundary whose gradient is different from zero on the boundary. This problem arises in the study of long waves trapped by the shore and by bottom irregularities. For its asymptotic solutions as λ → ∞ \lambda \rightarrow \infty , explicit formulas are given when D ( x ) D(x) has a special form that guarantees the complete integrability of the Hamiltonian system corresponding to the Hamiltonian H ( x , p ) = D ( x ) p 2 H(x,p)=D(x)p^2 . Since the problem is degenerate, the relevant Liouville tori are not in the standard phase space T ∗ Ω T^*\Omega , but in the “extended” phase space Φ ⊃ T ∗ Ω \mathbf {\Phi }\supset T^*\Omega , while their restrictions to T ∗ Ω T^*\Omega are not compact and “go to infinity” with respect to momenta near the boundary of Ω \Omega . As a result, nonstandard caustics emerge, formed by the boundary or its part, near which asymptotic eigenfunctions are expressed in terms of a Bessel function of composite argument. Standard caustics (within the domain) may also appear, which yield Airy functions in the asymptotics.
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Sergeev, N. S., I. A. Sorokin, and F. S. Podolyako. "A new compact linear beam-plasma discharge simulator BPD-PSI." Journal of Instrumentation 17, no. 11 (November 1, 2022): P11012. http://dx.doi.org/10.1088/1748-0221/17/11/p11012.

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Abstract A new BPD-PSI line-type plasma simulator is introduced. The device features two vacuum units: a target unit and an electron gun unit, connected to each other by a water-cooled electron beam transport channel. The Pierce-type electron gun is used to generate stationary or pulsed electron beam, utilized for beam-plasma discharge generation. The plasma electron density can be varied in the range of n e = 1 × 1016 - 1 × 1018 m-3 with electron temperature in the range of T e = 1-20 eV. The ion flux of 1 × 1021 m-2 s-1 and heat fluxes up to 5 MW m-2 are obtained. A set of utilized plasma and plasma-surface interaction diagnostics are described. Five demonstration experiments are presented: 1) high vs low power beam-plasma operation, 2) beam-plasma discharge with/without presence of an external magnetic field, 3) incident ion flux composition analysis, 4) incident ion energy distribution function measurement, 5) in-situ target surface temperature control and in-vacuo thermal desorption spectroscopy measurement. All of the technical features of the setup described in this paper make it a new tool for studying plasma-surface interactions.
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18

Bushnell, Colin J., and Guy Henniart. "Sur le comportement, par torsion, des facteurs epsilon de paires." Canadian Journal of Mathematics 53, no. 6 (December 1, 2001): 1141–73. http://dx.doi.org/10.4153/cjm-2001-043-0.

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RésuméSoient$F$un corps commutatif localement compact non archimédien et$\psi$un caractère additif non trivial de$F$. Soient$n$et${n}'$deux entiers distincts, supérieurs à 1. Soient$\pi$et${\pi }'$des représentations irréductibles supercuspidales de$\text{G}{{\text{L}}_{n}}\left( F \right)$,$\text{G}{{\text{L}}_{{{n}'}}}\left( F \right)$respectivement. Nous prouvons qu’il existe un élément$c=c\left( \pi ,{\pi }',\psi \right)$de${{F}^{\times }}$tel que pour tout quasicaractère modéré$\mathcal{X}$de${{F}^{\times }}$on ait$\mathcal{E}\left( \chi \pi \times {\pi }',s,\psi \right)=\chi {{\left( c \right)}^{-1}}\mathcal{E}\left( \pi \times {\pi }',s,\psi \right)$. Nous examinons aussi certains cas où$n={n}',{\pi }'={{\pi }^{\text{v}}}$. Les résultats obtenus forment une étape vers une démonstration de la conjecture de Langlands pour$F$, qui ne fasse pas appel à la géométrie des variétés modulaires, de Shimura ou de Drinfeld.
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19

Huang, Tao, Qiuyue Nie, Min Wang, Fengyu Xu, and Xiaogang Wang. "Conceptual Design of a Compact Divertor Heat Load Simulation Device: HIT-PSI." Applied Sciences 12, no. 20 (October 18, 2022): 10501. http://dx.doi.org/10.3390/app122010501.

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Linear plasma devices have been increasingly applied in investigating plasma–surface interaction (PSI) processes and divertor/scraped-off-layer (D/SOL) physics because of their economy, flexibility, and expandability. However, only a few existing linear plasma devices are able to obtain high heat and particle fluxes. In this work, we report a compact superconducting linear device, with its scientific goals and specific design methods, at Harbin Institute of Technology (HIT), HIT-PSI, capable of implementing an extreme plasma environment with beams of a long discharge pulse, as well as high heat and particle fluxes in the future fusion reactor regime of ITER/CFETR-like parameters. A five-coil integrated superconducting magnet is designed to generate a >2.0 Tesla steady-state magnetic field for confining a long pulse plasma beam with a density of >1020 m−3 produced by a cascaded arc plasma source. With a pump set of 2500 L/s and a water-cooled target system with bias voltage, it is expected to obtain high-density and low-temperature plasma beams with a heat flux of over 10 MW/m2. Subsystems of the platform, including the plasma source, superconducting magnets, vacuum system, and target holder system, are described in detail. In addition, the function and performance of the platform are numerically simulated and represented by SOLPS-ITER code to predict the laboratory simulation results.
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OSANÇLIOL, ALEN, and SERAP ÖZTOP. "WEIGHTED ORLICZ ALGEBRAS ON LOCALLY COMPACT GROUPS." Journal of the Australian Mathematical Society 99, no. 3 (September 2, 2015): 399–414. http://dx.doi.org/10.1017/s1446788715000257.

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For a locally compact group $G$ with left Haar measure and a Young function ${\rm\Phi}$, we define and study the weighted Orlicz algebra $L_{w}^{{\rm\Phi}}(G)$ with respect to convolution. We show that $L_{w}^{{\rm\Phi}}(G)$ admits no bounded approximate identity under certain conditions. We prove that a closed linear subspace $I$ of the algebra $L_{w}^{{\rm\Phi}}(G)$ is an ideal in $L_{w}^{{\rm\Phi}}(G)$ if and only if $I$ is left translation invariant. For an abelian $G$, we describe the spectrum (maximal ideal space) of the weighted Orlicz algebra and show that weighted Orlicz algebras are semisimple.
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PEDERSEN, THOMAS VILS. "GENERALIZED HARDY–CESÀRO OPERATORS BETWEEN WEIGHTED SPACES." Glasgow Mathematical Journal 61, no. 1 (January 28, 2018): 13–24. http://dx.doi.org/10.1017/s0017089517000398.

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AbstractWe characterize those non-negative, measurable functions ψ on [0, 1] and positive, continuous functions ω1 and ω2 on ℝ+ for which the generalized Hardy–Cesàro operator $$\begin{equation*}(U_{\psi}f)(x)=\int_0^1 f(tx)\psi(t)\,dt\end{equation*}$$ defines a bounded operator Uψ: L1(ω1) → L1(ω2) This generalizes a result of Xiao [7] to weighted spaces. Furthermore, we extend Uψ to a bounded operator on M(ω1) with range in L1(ω2) ⊕ ℂδ0, where M(ω1) is the weighted space of locally finite, complex Borel measures on ℝ+. Finally, we show that the zero operator is the only weakly compact generalized Hardy–Cesàro operator from L1(ω1) to L1(ω2).
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Herman, Jay, Elena Spinei, Alan Fried, Jhoon Kim, Jae Kim, Woogyung Kim, Alexander Cede, Nader Abuhassan, and Michal Segal-Rozenhaimer. "NO<sub>2</sub> and HCHO measurements in Korea from 2012 to 2016 from Pandora spectrometer instruments compared with OMI retrievals and with aircraft measurements during the KORUS-AQ campaign." Atmospheric Measurement Techniques 11, no. 8 (August 8, 2018): 4583–603. http://dx.doi.org/10.5194/amt-11-4583-2018.

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Abstract. Nine Pandora spectrometer instruments (PSI) were installed at eight sites in South Korea as part of the KORUS-AQ (Korea U.S.-Air Quality) field study integrating information from ground, aircraft, and satellite measurements for validation of remote sensing air-quality studies. The PSI made direct-sun measurements of total vertical column NO2, C(NO2), with high precision (0.05 DU, where 1 DU =2.69×1016 molecules cm−2) and accuracy (0.1 DU) that were retrieved using spectral fitting techniques. Retrieval of formaldehyde C(HCHO) total column amounts were also obtained at five sites using the recently improved PSI optics. The C(HCHO) retrievals have high precision, but possibly lower accuracy than for NO2 because of uncertainty about the optimum spectral window for all ground-based and satellite instruments. PSI direct-sun retrieved values for C(NO2) and C(HCHO) are always significantly larger than OMI (AURA satellite Ozone Monitoring Instrument) retrieved C(NO2) and C(HCHO) for the OMI overpass local times (KST=13.5±0.5 h). In urban areas, PSI C(NO2) 30-day running averages are at least a factor of two larger than OMI averages. Similar differences are seen for C(HCHO) in Seoul and nearby surrounding areas. Late afternoon values of C(HCHO) measured by PSI are even larger, implying that OMI early afternoon measurements underestimate the effect of poor air quality on human health. The primary cause of OMI underestimates is the large OMI field of view (FOV) that includes regions containing low values of pollutants. In relatively clean areas, PSI and OMI are more closely in agreement. C(HCHO) amounts were obtained for five sites, Yonsei University in Seoul, Olympic Park, Taehwa Mountain, Amnyeondo, and Yeoju. Of these, the largest amounts of C(HCHO) were observed at Olympic Park and Taehwa Mountain, surrounded by significant amounts of vegetation. Comparisons of PSI C(HCHO) results were made with the Compact Atmospheric Multispecies Spectrometer CAMS during overflights on the DC-8 aircraft for Taehwa Mountain and Olympic Park. In all cases, PSI measured substantially more C(HCHO) than obtained from integrating the CAMS altitude profiles. PSI C(HCHO) at Yonsei University in Seoul frequently reached 0.6 DU and occasionally exceeded 1.5 DU. The semi-rural site, Taehwa Mountain, frequently reached 0.9 DU and occasionally exceeded 1.5 DU. Even at the cleanest site, Amnyeondo, C(HCHO) occasionally exceeded 1 DU.
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Inc, Mustafa, and Bulent Kilic. "Compact and non compact structures of the phi-four equation." Waves in Random and Complex Media 27, no. 1 (May 22, 2016): 28–37. http://dx.doi.org/10.1080/17455030.2016.1186855.

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24

Shen Voon, Chow, Kim Ho Yeap, Koon Chun Lai, Chee Khang Seah, and Humaira Nisar. "A compact double-psi-shaped dual band patch antenna for WLAN/LTE applications." Microwave and Optical Technology Letters 60, no. 5 (April 8, 2018): 1271–75. http://dx.doi.org/10.1002/mop.31144.

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25

MASTERSON, JOHN T. "UNIQUENESS OF AFFINE STRUCTURES ON RIEMANN SURFACES." Tamkang Journal of Mathematics 23, no. 2 (June 1, 1992): 87–94. http://dx.doi.org/10.5556/j.tkjm.23.1992.4531.

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Let $M$ be any compact Riemann surface of genus $g\ge 2$. It is first established that there do not exist on $M$ any generic low- degree simple polar variations of branched affine structures having fixed nonpolar and polar branch data and fixed induced character homomorphism $\tilde \psi$. Hence, these structures depend uniquely on the branch data and the homomorphism. A related result is also established concern­ing the nonexistence on $M$ of generic low-degree single-point variations of branched affine structures having fixed homomorphism $\tilde \psi$. These resuits depend on the Noether and Weierstrass gaps on $M$. Corollaries are derived concerning mappings induced by sections of vector bundles of affine structures and concerning structures on an arbitrary hyperelliptic or elliptic ($g =1$) surface $M$.
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26

Correa, Ernesto, and Arturo de Pablo. "Remarks on a nonlinear nonlocal operator in Orlicz spaces." Advances in Nonlinear Analysis 9, no. 1 (May 22, 2019): 305–26. http://dx.doi.org/10.1515/anona-2020-0002.

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Abstract We study integral operators $\mathcal{L}u\left( \chi \right)=\int{_{_{\mathbb{R}}\mathbb{N}}\psi \left( u\left( x \right)-u\left( y \right) \right)J\left( x-y \right)dy}$of the type of the fractional p-Laplacian operator, and the properties of the corresponding Orlicz and Sobolev-Orlicz spaces. In particular we show a Poincaré inequality and a Sobolev inequality, depending on the singularity at the origin of the kernel J considered, which may be very weak. Both inequalities lead to compact inclusions. We then use those properties to study the associated elliptic problem $\mathcal{L}u=f$in a bounded domain $\Omega ,$and boundary condition u ≡ 0 on ${{\Omega }^{c}};$both cases f = f(x) and f = f(u) are considred, including the generalized eigenvalue problem $f\left( u \right)=\lambda \psi \left( u \right).$
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Pankiw-Bembenek, Oksana, Jaroslaw Zalewski, Tadeusz Goralczyk, and Anetta Undas. "A history of early stent thrombosis is associated with prolonged clot lysis time." Thrombosis and Haemostasis 107, no. 03 (2012): 513–20. http://dx.doi.org/10.1160/th11-09-0662.

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SummaryIt has been demonstrated that formation of compact plasma fibrin clots resistant to plasmin-mediated lysis characterises patients following instent thrombosis (IST). The relationship between defective fibrinolysis, reflected as prolonged clot lysis time (CLT) and IST is unclear. We sought to investigate whether patients with acute and subacute IST have impaired fibrinolytic capacity. We studied 41 definite IST patients, including 15 with acute and 26 with subacute IST experienced 2–73 months prior to enrollment, versus 41 controls matched for demographics, cardiovascular risk factors, concomitant treatment and angiographic/stent parameters. CLT, reflecting lysis of a tissue factor-induced plasma clot by exogenous tissue plasminogen activator, together with plasminogen activator inhibitor-1 (PAI-1) antigen and activity, thrombin-activatable fibrinolysis inhibitor (TAFI) antigen and activity, thrombomodulin (TM), plasminogen and α2-antiplasmin (α2AP) were measured. There were no inter-group differences in angiographic parameters, indication to the first PCI, culprit vessel or a type of stent. Patients with IST had 11% longer CLT (p=0.005) and 13% higher PAI-1 antigen (p=0.04) compared to controls. There were positive correlations in both groups between CLT and PAI-1 antigen and TAFI activity (all p<0.001). Multiple regression analysis showed that CLT (odds ratio [OR]=1.04 per 1 minute, 95% CI 1.01–1.08, p=0.02) and platelet count (OR=1.01 per 1,000/μl, 95% CI 1.00–1.02, p=0.034) were independent predictors of IST (R2=0.28, p<0.05). Concluding, impaired fibrinolytic potential, that is in part determined by plasma PAI-1 antigen and TAFI activity, characterises patients with a history of acute and subacute IST, which might help identify patients at higher risk of IST.
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Nicholson-Crotty, Sean C., Neal D. Woods, Ann O'M Bowman, and Andrew Karch. "Policy Innovativeness and Interstate Compacts." Policy Studies Journal 42, no. 2 (May 2014): 305–24. http://dx.doi.org/10.1111/psj.12060.

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29

Saha, Abhishek. "Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces." Mathematische Annalen 376, no. 1-2 (November 1, 2019): 609–44. http://dx.doi.org/10.1007/s00208-019-01923-3.

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Abstract Let D be an indefinite quaternion division algebra over $${{\mathbb {Q}}}$$Q. We approach the problem of bounding the sup-norms of automorphic forms $$\phi $$ϕ on $$D^\times ({{\mathbb {A}}})$$D×(A) that belong to irreducible automorphic representations and transform via characters of unit groups of orders of D. We obtain a non-trivial upper bound for $$\Vert \phi \Vert _\infty $$‖ϕ‖∞ in the level aspect that is valid for arbitrary orders. This generalizes and strengthens previously known upper bounds for $$\Vert \phi \Vert _\infty $$‖ϕ‖∞ in the setting of newforms for Eichler orders. In the special case when the index of the order in a maximal order is a squarefull integer N, our result specializes to $$\Vert \phi \Vert _\infty \ll _{\pi _\infty , \epsilon } N^{1/3 + \epsilon } \Vert \phi \Vert _2$$‖ϕ‖∞≪π∞,ϵN1/3+ϵ‖ϕ‖2. A key application of our result is to automorphic forms $$\phi $$ϕ which correspond at the ramified primes to either minimal vectors, in the sense of Hu et al. (Commun Math Helv, to appear) or p-adic microlocal lifts, in the sense of Nelson in “Microlocal lifts and and quantum unique ergodicity on $$\mathrm{GL}_2({{\mathbb {Q}}}_{p})$$GL2(Qp)” (Algebra Number Theory 12(9):2033–2064, 2018). For such forms, our bound specializes to $$\Vert \phi \Vert _\infty \ll _{ \epsilon } C^{\frac{1}{6} + \epsilon }\Vert \phi \Vert _2$$‖ϕ‖∞≪ϵC16+ϵ‖ϕ‖2 where C is the conductor of the representation $$\pi $$π generated by $$\phi $$ϕ. This improves upon the previously known local bound$$\Vert \phi \Vert _\infty \ll _{\lambda , \epsilon } C^{\frac{1}{4} + \epsilon }\Vert \phi \Vert _2$$‖ϕ‖∞≪λ,ϵC14+ϵ‖ϕ‖2 in these cases.
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30

TCV, Do, and Scherer HW. "Compost as growing media component for salt-sensitive plants." Plant, Soil and Environment 59, No. 5 (April 22, 2013): 214–20. http://dx.doi.org/10.17221/804/2012-pse.

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Composting has been considerably recognized as a viable management method for solid organic wastes aimed at recycling of its end-product as a potting substrate for ornamental plants. Pelargonium and Salvia as salt-sensitive plants were grown in the mixture of compost (75, 50, 25% by volume) and additives (Hygromull, Cocofiber and SPS-standard soil type 73 with 70% peat and 30% clay). Since plants may suffer from a high salt content, thus in a further experiment compost was added as a partial substitute for peat. The results of the first pot experiment reveal that the large percentage of compost in the substrate had negative effects on plant growth and nutrient uptake (N, P, K and Na). Both yield formation and nutrient uptake significantly increased and almost gained levels of those in the control in the second pot experiment when plants were grown in peat-based substrates. Especially, the growth of Salvia was significantly improved. Consequently, the compost-based media (&gt; 50% volume of compost) cannot be recommended for salt sensitive ornamental plants, while less than 25% of compost incorporated into peat creates peat-based substrates which reasonably enhanced growth of Pelargonium and Salvia.
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31

Nakazi, Takahiko, and Rikio Yoneda. "Compact Toeplitz operators with continuous symbols on weighted Bergman spaces." Glasgow Mathematical Journal 42, no. 1 (March 2000): 31–35. http://dx.doi.org/10.1017/s0017089500010053.

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Let L^2_a (D, d\sigma d\theta /2\pi ) be a complete weighted Bergman space on the open unit disc D, where d\sigma is a positive finite Borel measure on [0, 1). We show the following : when \phi is a continuous function on the closed unit disc \bar {D}, T_\phi is compact if and only if \phi = 0 on \partial D.1991 Mathematics Subject Classification 47B35, 47B07.
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32

Zhu, Ce, Hui Xu, Nan Li, Xiao Bo Tian, and Hai Jun Liu. "Remote Data Recorder Design Based on Embedded Linux." Applied Mechanics and Materials 644-650 (September 2014): 4491–95. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.4491.

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Radar, aerospace and wireless communications have a lot of demand for high-speed data acquisition and storage, in these applications, there is a need to control data collection and storage remotely, so researching safe, reliable, real-time remote data recorder is very meaningful. Based on Compact PCI IPC, putting ADC and data acquisition front-end into the chassis, using a dedicated PCI bus interface chip, to transmit data via Compact PCI backplane and record data to high-speed disk array. The platform use embedded Linux operating system to control high-speed and data acquisition. Users can manage data remotely by developing the data acquisition card driver and application software.
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33

Scherer, H. W. "Influence of compost application on growth and phosphorus exploitation of ryegrass (Lolium perenne L.)." Plant, Soil and Environment 50, No. 12 (December 10, 2011): 518–24. http://dx.doi.org/10.17221/4068-pse.

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Information on the availability of P following compost addition to soil may help to a better management of P fertilization of the crop in respect to plant growth and the environment. Therefore a greenhouse experiment was conducted to investigate the effect of compost within the official classes of stability III and V on growth and P exploitation of ryegrass (Lolium perenne L. cv. Turilo). The following result was obtained: As compared to a control without P application, compost application resulted in a significant yield increase. Application of composts of the official class of stability V resulted in higher yields as compared with the application of compost of the official class of stability III. P uptake of ryegrass was higher in the treatments in the class of stability V. Based on CAL-extractable compost P exploitation of P ranged between 8.5 and 104.0% in the first year of compost application and in total (sum of two years) 37.8 and 204.5%. P exploitation on the basis of total compost P ranged between 3.6 and 22.1%.
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34

Davie, Alexander M., Mariusz Urbański, and Anna Zdunik. "MAXIMIZING MEASURES ON METRIZABLE NON-COMPACT SPACES." Proceedings of the Edinburgh Mathematical Society 50, no. 1 (February 2007): 123–51. http://dx.doi.org/10.1017/s0013091505000179.

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AbstractWe prove the existence and uniqueness of maximizing measures for various classes of continuous integrands on metrizable (non-compact) spaces and close subsets of Borel probability measures. We apply these results to various dynamical contexts, especially to hyperbolic mappings of the form $f_\lambda(z)=\lambda\mathrm{e}^z$, $\lambda\ne0$, and associated canonical maps $F_\lambda$ of an infinite cylinder. It is then shown that, for all hyperbolic maps $F_\lambda$, all dynamically maximizing measures have compact supports and, for all $0^+$-potentials $\phi$, the set of (weak) limit points of equilibrium states of potentials $t\phi$, $t\nearrow+\infty$, is non-empty and consists of dynamically maximizing measures.
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35

Francaviglia, Stefano, Armando Martino, and Dionysios Syrigos. "The minimally displaced set of an irreducible automorphism of $$F_N$$ is co-compact." Archiv der Mathematik 116, no. 4 (March 9, 2021): 369–83. http://dx.doi.org/10.1007/s00013-021-01579-z.

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AbstractWe study the minimally displaced set of irreducible automorphisms of a free group. Our main result is the co-compactness of the minimally displaced set of an irreducible automorphism with exponential growth $$\phi $$ ϕ , under the action of the centraliser $$C(\phi )$$ C ( ϕ ) . As a corollary, we get that the same holds for the action of $$ <\phi>$$ < ϕ > on $$Min(\phi )$$ M i n ( ϕ ) . Finally, we prove that the minimally displaced set of an irreducible automorphism of growth rate one consists of a single point.
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36

Niedzielska, Iwona, Michał Bąk, Damian Niedzielski, Hubert Okła, Jadwiga Gabor, Arkadiusz Stanula, Jarosław Paluch, and Andrzej Szymon Swinarew. "Temporomandibular Joint Prostheses: Optimal Materials for the Optimal Stomatognathic System Performance—Preliminary Study." Journal of Functional Biomaterials 12, no. 1 (January 26, 2021): 7. http://dx.doi.org/10.3390/jfb12010007.

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The aim of this study was to quantitatively evaluate alloplastic Temporomandibular Joint (TMJ) Prostheses against other treatment modalities regarding the jaw kinematics. Six patients with Temporomandibular Joint Prostheses, four with mandibular ramus Patient-Specific Implant (PSI) with condylar head preservation, and four after mandibular condylectomy were evaluated by the means of axiography (Cadiax Compact 2), which is the noninvasive three-dimensional study of condylar movements. The patients were also evaluated clinically for the mandibular movements. The study revealed that the significant movement limitations occurred bilaterally in patients fitted with TMJ prosthesis. For the protrusion movement, the vector length of the movement (L) for the TMJ prosthesis was 0.31 vs. 3.01 mm for the PSI (Kruskal–Wallis chi-squared = 9.1667, df = 2, p-value = 0.01022, post hoc Dunn p-value = 0.015) and for the laterotrusion to the operated side, the length of the vector (L) was 0.66 vs. 3.35 mm, respectively. Statistically significant differences between groups were most frequent for the laterotrusion to the unoperated side. The study shows that a further development on TMJ Prostheses geometry and materials is needed.
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Zhou, Mi, Naeem Saleem, Xiao-lan Liu, and Nihal Özgür. "On two new contractions and discontinuity on fixed points." AIMS Mathematics 7, no. 2 (2022): 1628–63. http://dx.doi.org/10.3934/math.2022095.

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<abstract><p>This paper deals with a well known open problem raised by Kannan (Bull. Calcutta Math. Soc., 60: 71–76, 1968) and B. E. Rhoades (Contemp. Math., 72: 233–245, 1988) on the existence of general contractions which have fixed points, but do not force the continuity at the fixed point. We propose some new affirmative solutions to this question using two new contractions called $ (\psi, \varphi) $-$ \mathcal{A} $-contraction and $ (\psi, \varphi) $-$ \mathcal{A^{\prime}} $-contraction inspired by the results of H. Garai et al. (Applicable Analysis and Discrete Mathematics, 14(1): 33–54, 2020) and P. D. Proinov (J. Fixed Point Theory Appl. (2020) 22: 21). Some new fixed point and common fixed point results in compact metric spaces and also in complete metric spaces are proved in which the corresponding contractive mappings are not necessarily continuous at their fixed points. Moreover, we show that new solutions to characterize the completeness of metric spaces. Several examples are provided to verify the validity of our main results.</p></abstract>
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38

Balakrishnan, V., K. Venkatesan, and K. C. Ravindran. "The influence of halophytic compost, farmyard manure and phosphobacteria on soil microflora and enzyme activities." Plant, Soil and Environment 53, No. 4 (January 7, 2008): 186–92. http://dx.doi.org/10.17221/2311-pse.

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Biocompost has been identified as an alternative to chemical fertilizers that increased soil microbial population and soil enzyme activities in sustainable farming. The objective of this field study was to evaluate the effect of three halophytic composts in combination with farmyard manure and phosphate solubilising bacteria (<i>Bacillus megaterium</i>) on soil microflora and enzyme activities. The results show that among nine treatments given, the application of <i>Suaeda</i> compost in combination with farmyard manure and phosphate solubilising bacteria (T<sub>9</sub>) significantly increased the soil microflora such as bacteria, fungi and actinomycetes and soil enzyme activities such as dehydrogenases, alkaline phosphatase, cellulase and urease in soil cultivated with <i>Arachis hypogaea</i>.
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39

Do, T. C. V., and H. W. Scherer. "  Compost and biogas residues as basic materials for potting substrates." Plant, Soil and Environment 58, No. 10 (October 12, 2012): 459–64. http://dx.doi.org/10.17221/445/2012-pse.

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Recent concerns over the environmental impact of peat harvesting have led to restrictions on the production of peat based potting substrates. Therefore the objective of our study was to evaluate the use of compost and biogas residues without and each with 20% additives (Perlite, Styromull, Hygromull, Lecaton, Peat, Cocofiber) as a substitute for peat. Ryegrass (Lolium perenne L.), chosen as an experimental plant, was cut four times. The results reveal that compost and biogas residues are suitable potting substrates. The incorporation of additives mixed into the basic materials partly resulted in higher yield and nutrient uptake. However, the difference among additives was mainly insignificant. Incorporation of Hygromull, especially into biogas residues favored plant growth and increased the uptake of nutrients, which is attributed to the fact that Hygromull stores nutrients and delivers them even later in the growing season. Furthermore Hygromull reduces the salt concentration of the medium, resulting in favored plant growth of younger plants. &nbsp;
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40

Baldi, E., and M. Toselli. "Root growth and survivorship in cow manure and compost amended soils." Plant, Soil and Environment 59, No. 5 (April 22, 2013): 221–26. http://dx.doi.org/10.17221/857/2012-pse.

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The effect of the application of compost and cow manure on nectarine (Prunus persica L.) root growth and survivorship was investigated in a commercial orchard during the growing seasons 2003, 2004 and 2005. Our main objective was to determine whether compost affects root dynamics differently than cow manure. The experiment was a complete randomized block design with four replicates of two treatments: cow manure and compost applied at planting in 2001 at 10 t dry weight (DW)/ha and from 2004 at the rate of 5 t DW/ha. The compost fertilization represented a yearly rate of 120 kg N/ha, while cow manure was approximately 80 kg N/ha/year. Both root growth and survival were evaluated at 20-day intervals during the growing season by the minirhizotron technique. Cow manure increased the production of new roots compared with compost (P &le; 0.001). Roots were mainly produced at a depth of 21&ndash;40 cm for compost and 61&ndash;80 cm for cow manure. The root lifespan was longer in compost than in cow manure treated trees (P &le; 0.05) and was strongly affected by depth. No differences were observed in root length and diameter.
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41

Wyszkowska, J., and M. Wyszkowski. "Role of compost, bentonite and lime in recovering the biochemical equilibrium of diesel oil contaminated soil." Plant, Soil and Environment 52, No. 11 (November 17, 2011): 505–14. http://dx.doi.org/10.17221/3541-pse.

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The aim of the study was to determine how soil contamination with diesel oil affected biochemical properties of soil and to determine whether the application of compost, bentonite or lime could recover the biochemical equilibrium of soil. The experiments were carried out in a greenhouse. Typical Eutric Cambisols soil formed from sandy loam was polluted with the following amounts of diesel oil: 2.5, 5.0 and 10 cm<sup>3</sup>/kg of soil. The results of the tests showed that the contamination of soil with diesel oil at the amount between 2.5 and 10 cm<sup>3</sup>/kg of soil disturbed the biochemical balance of soil. Irrespective of the application of compost, bentonite or lime and regardless which plant species was grown, diesel oil significantly (p = 0.01) stimulated the activity of dehydrogenases, urease, and alkaline phosphatase as well as the nitrification of soil. Enrichment of soil with compost, bentonite or lime stimulated the activity of urease, alkaline phosphatase and nitrification. The activity of dehydrogenases, urease and nitrification of soil, in contrast to the activity of acid phosphatase, was higher in soil under spring oilseed rape than in soil under oats. The activity of dehydrogenases, urease, alkaline phosphatase in soil contaminated with diesel oil was positively correlated with the nitrification of soil. The correlation between the activity of acid phosphatase and soil nitrification was negative.
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42

AKBARBAGLU, IBRAHIM, and SAEID MAGHSOUDI. "A CONVOLUTION-INDUCED TOPOLOGY ON THE ORLICZ SPACE OF A LOCALLY COMPACT GROUP." Journal of the Australian Mathematical Society 99, no. 1 (January 19, 2015): 1–11. http://dx.doi.org/10.1017/s1446788714000639.

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Let $G$ be a locally compact group with a fixed left Haar measure. In this paper, given a strictly positive Young function ${\rm\Phi}$, we consider $L^{{\rm\Phi}}(G)$ as a Banach left $L^{1}(G)$-module. Then we equip $L^{{\rm\Phi}}(G)$ with the strict topology induced by $L^{1}(G)$ in the sense of Sentilles and Taylor. Some properties of this locally convex topology and a comparison with weak$^{\ast }$, bounded weak$^{\ast }$ and norm topologies are presented.
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43

Cutland, N. J., and G. B. Zimmer. "NEAR-ISOMETRIES BETWEEN $C(K)$-SPACES." Proceedings of the Edinburgh Mathematical Society 48, no. 3 (September 15, 2005): 585–94. http://dx.doi.org/10.1017/s001309150300049x.

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AbstractLet $X$, $Y$ be compact Hausdorff spaces and let $T:C(X,\mathbb{R})\to C(Y,\mathbb{R})$ be an invertible linear operator. Non-standard analysis is used to give a new intuitive proof of the Amir–Cambern result that if $\|T\|\hskip1pt\|T^{-1}\|\lt2$, then there is a homeomorphism $\psi:Y\to X$. The approach provides a proof of the following representation theorem for such near-isometries:$$ Tf=(T1_X)(f\circ\psi)+Sf, $$with $\|S\|\leq2(\|T\|-(1/\|T^{-1}\|))$, so $\|S\|\lt\|T\|$. If $\|T\|\hskip1pt\|T^{-1}\|=1$, then $S=0$, giving the well-known representation for isometries.
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44

Staub, Jan, German Fernandez-Rico, Achim Gandorfer, Laurent Gizon, Johann Hirzberger, Stefan Kraft, Andreas Lagg, et al. "PMI: The Photospheric Magnetic Field Imager." Journal of Space Weather and Space Climate 10 (2020): 54. http://dx.doi.org/10.1051/swsc/2020059.

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We describe the design and the capabilities of the Photospheric Magnetic field Imager (PMI), a compact and lightweight vector magnetograph, which is being developed for ESA’s Lagrange mission to the Lagrange L5 point. After listing the design requirements and give a scientific justification for them, we describe the technical implementation and the design solution capable of fulfilling these requirements. This is followed by a description of the hardware architecture as well as the operations principle. An outlook on the expected performance concludes the paper.
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45

BOWDITCH, BRIAN H. "QUASICONVEXITY OF BANDS IN HYPERBOLIC 3-MANIFOLDS." Journal of the Australian Mathematical Society 96, no. 2 (November 8, 2013): 167–85. http://dx.doi.org/10.1017/s1446788713000566.

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AbstractLet$M$be a complete hyperbolic 3-manifold homotopy equivalent to a compact surface$\Sigma $. Let$\Phi $be a proper subsurface of$\Sigma $, whose boundary is sufficiently short in$M$. We show that the union of all Margulis tubes and cusps homotopic into$\Phi $lifts to a uniformly quasiconvex subset of hyperbolic 3-space.
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46

Bracamonte, Mireya, Jurancy Ereú, and Luz Marchan. "Multiplication operators on the Banach algebra of bounded Φ-variation functions on compact subsets of ℂ." Demonstratio Mathematica 55, no. 1 (January 1, 2022): 760–71. http://dx.doi.org/10.1515/dema-2022-0162.

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Abstract Let A Φ ( K ) {{\mathbb{A}}}_{\Phi }\left({\bf{K}}) be the Banach algebra of bounded Φ \Phi -variation functions defined on a compact set K {\bf{K}} in the complex plane, h h a function defined on K {\bf{K}} , and M h {M}_{h} a multiplication operator induced by h h . In this article, we determine the conditions that h h must satisfy for M h {M}_{h} to be an operator that has closed range, finite rank or is compact. We also characterize the conditions that h h must satisfy for M h {M}_{h} to be a Fredholm operator.
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47

Reid, Colin D., and Phillip R. Wesolek. "Homomorphisms into totally disconnected, locally compact groups with dense image." Forum Mathematicum 31, no. 3 (May 1, 2019): 685–701. http://dx.doi.org/10.1515/forum-2018-0017.

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Abstract Let {\phi:G\rightarrow H} be a group homomorphism such that H is a totally disconnected locally compact (t.d.l.c.) group and the image of ϕ is dense. We show that all such homomorphisms arise as completions of G with respect to uniformities of a particular kind. Moreover, H is determined up to a compact normal subgroup by the pair {(G,\phi^{-1}(L))} , where L is a compact open subgroup of H. These results generalize the well-known properties of profinite completions to the locally compact setting.
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48

Oh, Kook-Hwan, Seon Ha Baek, Kwon-Wook Joo, Dong Ki Kim, Yon Su Kim, Sejoong Kim, Yun Kyu Oh, et al. "Does Routine Bioimpedance-Guided Fluid Management Provide Additional Benefit to Non-Anuric Peritoneal Dialysis Patients? Results from Compass Clinical Trial." Peritoneal Dialysis International: Journal of the International Society for Peritoneal Dialysis 38, no. 2 (March 1, 2017): 131–38. http://dx.doi.org/10.3747/pdi.2016.00241.

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Introduction In peritoneal dialysis (PD) patients, volume overload is related to cardiac dysfunction and mortality, while intravascular volume depletion is associated with a rapid decline in the residual renal function (RRF). This study sought to determine the clinical usefulness of bioimpedance spectroscopy (BIS)-guided fluid management for preserving RRF and cardiac function in PD patients. Subjects and methods This is a multicenter, prospective, open-label study that was conducted over a 1-year period (NCT01887262). Non-anuric (urine volume > 500 mL/day) subjects on PD were enrolled. Subjects in the control group received fluid management based on the clinical information alone. Those in the BIS group received BIS-guided fluid management along with clinical information. Results The subjects ( N = 137, mean age 51.3 ± 12.8 years, 54% male) were randomly assigned to the BIS group ( n = 67) or to the control group ( n = 70). There were no significant differences between the 2 groups with regard to age, sex ratio, cause of kidney failure, duration of PD, baseline comorbidity, RRF, PD method, or peritoneal transport type. At baseline, the 2 groups were not different in terms of RRF (glomerular filtration rate [GFR], 5.1 ± 2.9 vs 5.5 ± 3.7 mL/min/1.73 m2). After follow-up, changes in the GFR between the 2 groups were not different (-1.5 ± 2.4 vs -1.3 ± 2.6 mL/min/1.73 m2, p = 0.593). Over the 1-year study period, both groups maintained stability of various fluid status parameters. Between the 2 groups, there were no differences in the net change of various fluid status parameters such as overhydration (OH) and extracellular water/total body water (ECW/TBW). A net change in ECW over 1 year was slightly but significantly higher in the control group (net increase, 0.57 ± 1.27 vs 0.05 ± 1.63 L, p = 0.047). However, this difference was not translated into an improvement in RRF in the BIS group. There were no differences in echocardiographic parameters or arterial stiffness at the end of follow-up. Conclusion Routine BIS-guided fluid management in non-anuric PD patients did not provide additional benefit in volume control, RRF preservation, or cardiovascular (CV) parameters. However, our study cannot be generalized to the whole PD population. Further research is warranted in order to investigate the subpopulation of PD patients who may benefit from routine BIS-guided fluid management.
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49

Mi, Rong. "F-biharmonic maps into general Riemannian manifolds." Open Mathematics 17, no. 1 (November 8, 2019): 1249–59. http://dx.doi.org/10.1515/math-2019-0112.

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Abstract Let ψ:(M, g) → (N, h) be a map between Riemannian manifolds (M, g) and (N, h). We introduce the notion of the F-bienergy functional $$\begin{array}{} \displaystyle E_{F,2}(\psi)=\int\limits_{M}F\left(\frac{|\tau(\psi)|^{2}}{2}\right)\text{d}V_{g}, \end{array}$$ where F : [0, ∞) → [0, ∞) be C3 function such that F′ > 0 on (0, ∞), τ(ψ) is the tension field of ψ. Critical points of τF,2 are called F-biharmonic maps. In this paper, we prove a nonexistence result for F-biharmonic maps from a complete non-compact Riemannian manifold of dimension m = dimM ≥ 3 with infinite volume that admit an Euclidean type Sobolev inequality into general Riemannian manifold whose sectional curvature is bounded from above. Under these geometric assumptions we show that if the Lp-norm (p > 1) of the tension field is bounded and the m-energy of the maps is sufficiently small, then every F-biharmonic map must be harmonic. We also get a Liouville-type result under proper integral conditions which generalize the result of [Branding V., Luo Y., A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds, 2018, arXiv: 1806.11441v2].
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50

张智丰, 张智丰, and 裴志利 裴志利. "A Robust Compact Image Hash Algorithm Zhang Zhifeng, Pei Zhili." Laser & Optoelectronics Progress 54, no. 10 (2017): 101002. http://dx.doi.org/10.3788/lop54.101002.

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